87520523688 has 384 divisors, whose sum is σ = 276842966400. Its totient is φ = 24747835392.

The previous prime is 87520523653. The next prime is 87520523689. The reversal of 87520523688 is 88632502578.

87520523688 is a `hidden beast` number, since 8 + 7 + 52 + 0 + 523 + 68 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (87520523689) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147589120 + ... + 147589712.

It is an arithmetic number, because the mean of its divisors is an integer number (720945225).

Almost surely, 2^87520523688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87520523688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138421483200).

87520523688 is an abundant number, since it is smaller than the sum of its proper divisors (189322442712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87520523688 is a wasteful number, since it uses less digits than its factorization.

87520523688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 87520523688 in words is "eighty-seven billion, five hundred twenty million, five hundred twenty-three thousand, six hundred eighty-eight".